Home / 1,576.04-2,363.51-465.12

Finding the Fourth Proportional to 1,576.04, 2,363.51 and 465.12

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Solution

The fourth proportional to 1,576.04, 2,363.51 and 465.12 is: 697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.04 : 2,363.51 = 465.12 : x
  2. Step 2: Convert to fraction form
    1,576.04/2,363.51 = 465.12/x
  3. Step 3: Cross multiply
    1,576.04x = 2,363.51 × 465.12
  4. Step 4: Simplify right side
    1,576.04x = 1,099,313.45
  5. Step 5: Solve for x
    x = 1,099,313.45/1,576.04
  6. Step 6: Final answer
    x = 697.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.